Posted 05 June 2007 - 08:29 PM

you guys need to take a logic (discrete structures) class:

if p, then q. iff = if and only if, basically, the truth of the whole statement.

truth table:

P Q P iff Q

true true true

true false false

false true false

false false true <= most important logical conclusion!!! if both your premises and your conclusion are false, then no matter what, the statement is true. this is a trivial conclusion, meaning that since both are false, you can say anything and what you say will be true. i.e. i can say if the sky is green, then pigs can fly. since the sky isn't green and pigs can't fly, my whole statement is true.

if "i am an honest man" (P), then "there is buried treasure." (Q) if said by an honestant, then it is obvious this is true.

for the swindlecant scenario, things are a little harder. if said by a swindlecant, then the premise is false. the part "there is buried treasure" can be either true or false. to be able to keep the whole statement false, then the part "there is buried treasure" must be true!! if that part was false, then since both parts are false, the whole statement is true so if he was a swindlecant, he wouldn't be able to say this statement.

hence, no matter the speaker, there is buried treasure on the island.